par Bonatsos, Dennis;Kolokotronis, P.;Daskaloyannis, Costas;Ludu, Andrei;Quesne, Christiane 
Référence Czechoslovak Journal of Physics, 46, 12, page (1189-1196)
Publication Publié, 1996-12
Référence Czechoslovak Journal of Physics, 46, 12, page (1189-1196)
Publication Publié, 1996-12
Article révisé par les pairs
| Résumé : | The most common nonlinear deformations of the su(2) Lie algebra, introduced by Polychronakos and Roček, involve a single arbitrary function of J0 and include the quantum algebra suq(2) as a special case. In the present contribution, less common nonlinear deformations of su(2), introduced by Delbecq and Quesne and involving two deforming functions of J0, are reviewed. Such algebras include Witten's quadratic deformation of su(2) as a special case. Contrary to the former deformations, for which the spectrum of J0 is linear as for su(2), the latter give rise to exponential spectra, a property that has aroused much interest in connection with some physical problems. Another interesting algebra of this type, denoted by A+q(1), has two series of (N + 1 )-dimensional unitary irreducible representations, where N = 0, 1, 2, . . .. To allow the coupling of any two such representations, a generalization of the standard Hopf axioms is proposed. The resulting algebraic structure, referred to as a two-colour quasitriangular Hopf algebra, is described. |
